Aptitude - Average - Discussion
Discussion Forum : Average - General Questions (Q.No. 6)
6.
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Answer: Option
Explanation:
Let the average age of the whole team by x years.
11x - (26 + 29) = 9(x -1)
11x - 9x = 46
2x = 46
x = 23.
So, average age of the team is 23 years.
Discussion:
129 comments Page 3 of 13.
Vikash said:
8 years ago
Let avg age is X.
And out of 11 members two members age is given(C And WC) then remaining players are 9
Let sum of the age of these Players(9) is A
now
X=A+(26+29)/11
A=11X-55------------(1)
And average age of the remaining players after excluded(26+29).
And avg age is 1 year less than,
So
X-1=A/9,
A=9X-9------------------------(2)
solve eqe (1) and (2).
11X-55=9X-9,
2X=46,
x=23.
And out of 11 members two members age is given(C And WC) then remaining players are 9
Let sum of the age of these Players(9) is A
now
X=A+(26+29)/11
A=11X-55------------(1)
And average age of the remaining players after excluded(26+29).
And avg age is 1 year less than,
So
X-1=A/9,
A=9X-9------------------------(2)
solve eqe (1) and (2).
11X-55=9X-9,
2X=46,
x=23.
Philanthropist said:
12 months ago
By taking 23 from the given options we can solve it easily.
Let's do it,
23 x 11 = 253.
253 - 55 = 198.
198/9 = 22.
22<23 by 1.
The sum of 11 members is 11 * 23 = 253.
253-55(captain 26yr + 29 wicket-keeper) = 198.
198/9 (9 is the remaining members excluding captain and wicketkeeper) = 22.
So, 22yr average of (9 members) is less than 23 (11 whole team) by an average 1 year.
Let's do it,
23 x 11 = 253.
253 - 55 = 198.
198/9 = 22.
22<23 by 1.
The sum of 11 members is 11 * 23 = 253.
253-55(captain 26yr + 29 wicket-keeper) = 198.
198/9 (9 is the remaining members excluding captain and wicketkeeper) = 22.
So, 22yr average of (9 members) is less than 23 (11 whole team) by an average 1 year.
(14)
Vineela reddy said:
1 decade ago
Let avg of team = x.
Sum = avg*no.of persons.
Sum = x*11.
Let captain age = 26.
Wicketkeeper age = 26+3=29;(3 yrs older than captain so +3 is added).
So now (11x-(26+29)).....eq(1).
Now two are excluded there are 9 members:i.e., N=9;
Given avg is decreased by "-1"so avg is :x-1;
Then sum is=9(x-1).... eqn(2).
Equating 1&2,
We get x=23 years.
Sum = avg*no.of persons.
Sum = x*11.
Let captain age = 26.
Wicketkeeper age = 26+3=29;(3 yrs older than captain so +3 is added).
So now (11x-(26+29)).....eq(1).
Now two are excluded there are 9 members:i.e., N=9;
Given avg is decreased by "-1"so avg is :x-1;
Then sum is=9(x-1).... eqn(2).
Equating 1&2,
We get x=23 years.
Shilohu said:
1 decade ago
As their are 11 members..the average weight = 11 x.
(the average age of the remaining players is one year less than the average age of the whole team).
Remaining players = 9 (as they said exclude captain, keeper).
And their average is less the remaining so it is written as 9(x-1).
Finally,
11 x (total avg weight)-(26+29)(as they asked to exclude) = 9(x-1).
(the average age of the remaining players is one year less than the average age of the whole team).
Remaining players = 9 (as they said exclude captain, keeper).
And their average is less the remaining so it is written as 9(x-1).
Finally,
11 x (total avg weight)-(26+29)(as they asked to exclude) = 9(x-1).
Jeevitha said:
1 decade ago
Let the average age of the whole team be x years.
Then, the age of remaining 9 players is 9(x-1).
Given age of captain is 26 years.
Wicket keeper is 3 years older than captain.
So we get age of wicket keeper as 26+3 = 29 years.
Now apply the normal average formula.
{26+29+9 (x-1) }/11 = x.
55+ 9(x-1) = 11x.
9x-9+55 = 11x.
46 = 11x-9x.
2x = 46.
x = 23.
Then, the age of remaining 9 players is 9(x-1).
Given age of captain is 26 years.
Wicket keeper is 3 years older than captain.
So we get age of wicket keeper as 26+3 = 29 years.
Now apply the normal average formula.
{26+29+9 (x-1) }/11 = x.
55+ 9(x-1) = 11x.
9x-9+55 = 11x.
46 = 11x-9x.
2x = 46.
x = 23.
AbhisShek said:
1 decade ago
Let the sum of age of 7 player(excluding captain and keeper)= x
average age of the whole team = (x+26+(26+3))/11 ----eq(1)
average age of a team without captain and keeper = x/9 -----eq(2)
according to the question,
x/9 = (x+26+29)/11 - 1
11x+99=9x+495
x=198
putting the value of x in eq(1) we get,
average age of the whole team = 23years
average age of the whole team = (x+26+(26+3))/11 ----eq(1)
average age of a team without captain and keeper = x/9 -----eq(2)
according to the question,
x/9 = (x+26+29)/11 - 1
11x+99=9x+495
x=198
putting the value of x in eq(1) we get,
average age of the whole team = 23years
Swaroop teja said:
9 years ago
Here it was so easy, let the age of captain = 26,
wicket keeper = 29.
So, 26 + 29 = 55 forget about this.
Next step: Whole team = 11 members.
Two members excluded so total team members.
Here 11x - 55 = 9(x-1) ---> here x-1 indicates 1year less than the avg age of the whole team.
11x - 55 = 9x-9,
11x - 9x = -9 + 56,
2x = 46,
x = 46/2 = 23.
wicket keeper = 29.
So, 26 + 29 = 55 forget about this.
Next step: Whole team = 11 members.
Two members excluded so total team members.
Here 11x - 55 = 9(x-1) ---> here x-1 indicates 1year less than the avg age of the whole team.
11x - 55 = 9x-9,
11x - 9x = -9 + 56,
2x = 46,
x = 46/2 = 23.
Pelzang said:
5 years ago
Let x be average of 11 people or team.
Total age of two-person is 26 + 29 = 55.
Total age of 11 people be= 11 * x = 11x.
It says when 2 people excluded avg is decreased by 1 so, it is = x - 1.
Now find the avg of 9 members.
{11x(total age) - 55( two person)}/9 = X-1.
So, 11x-55 = 9(x-1) "take 9 to other side".
Then solve it.
Total age of two-person is 26 + 29 = 55.
Total age of 11 people be= 11 * x = 11x.
It says when 2 people excluded avg is decreased by 1 so, it is = x - 1.
Now find the avg of 9 members.
{11x(total age) - 55( two person)}/9 = X-1.
So, 11x-55 = 9(x-1) "take 9 to other side".
Then solve it.
(2)
Mehul said:
8 years ago
Explaination:
Number-----------Average -----------Total
11 ----------- x -----------11x
9 ----------- x-1 ----------- 9(x-1).
So, for average of the team :-
11x - (captain + wicketkeeper) = 9(x-1)
hence,
11x - (26+29)=9(x-1),
11x -55 = 9x - 9,
11x - 9x = 46,
2x = 46,
x=23.
Number-----------Average -----------Total
11 ----------- x -----------11x
9 ----------- x-1 ----------- 9(x-1).
So, for average of the team :-
11x - (captain + wicketkeeper) = 9(x-1)
hence,
11x - (26+29)=9(x-1),
11x -55 = 9x - 9,
11x - 9x = 46,
2x = 46,
x=23.
Vishal said:
6 years ago
Easy method:
In the whole team, 11 members are there.
Captain age is 26 and wicket-keeper age is 3 yr older than captain means 29.
So 26+29 = 55.
Then 2 player excluded and 1 year less than,
Now only 9 players left 9 multiply by 1 = 9.
55-9 = 46 divide by 2 = 23 answer.
In the whole team, 11 members are there.
Captain age is 26 and wicket-keeper age is 3 yr older than captain means 29.
So 26+29 = 55.
Then 2 player excluded and 1 year less than,
Now only 9 players left 9 multiply by 1 = 9.
55-9 = 46 divide by 2 = 23 answer.
(2)
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